Period polynomial relations between double zeta values

DOI10.1007/s11139-013-9466-2zbMath1303.11101arXiv1109.3786OpenAlexW2063775516MaRDI QIDQ385614

Samuel Baumard, Leila Schneps

Publication date: 2 December 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3786

zbMATH Keywords

double zeta valuesdouble shuffleperiod polynomials

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Holomorphic modular forms of integral weight (11F11) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

Period polynomial relations between formal double zeta values of odd weight ⋮ Double shuffle relations of double zeta values and the double Eisenstein series at levelN ⋮ Double zeta values, double Eisenstein series, and modular forms of level 2 ⋮ Depth-graded motivic Lie algebra ⋮ The depth structure of motivic multiple zeta values ⋮ Relationships between multiple zeta values of depths 2 and 3 and period polynomials ⋮ Motivic double zeta values of odd weight

Cites Work

• ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation
• Periods of modular forms and Jacobi theta functions
• The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\).
• The multiple zeta value algebra and the stable derivation algebra
• Galois symmetries of fundamental groupoids and noncommutative geometry
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